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Finding the Fourth Proportional to 11,811.99, 16,294.86 and 7,341

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Solution

The fourth proportional to 11,811.99, 16,294.86 and 7,341 is: 10,127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.99 : 16,294.86 = 7,341 : x
  2. Step 2: Convert to fraction form
    11,811.99/16,294.86 = 7,341/x
  3. Step 3: Cross multiply
    11,811.99x = 16,294.86 × 7,341
  4. Step 4: Simplify right side
    11,811.99x = 119,620,567.26
  5. Step 5: Solve for x
    x = 119,620,567.26/11,811.99
  6. Step 6: Final answer
    x = 10,127.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.